Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated point. y² + 5y + 7x=0; (-2,2) Y'(-2,2)=(Simplify your answer.)

Q: using an appropriate su OTE: Enter the exact answer. 4 | - | dx - 4 (1 – 2x) ¹ +C

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A: The answer is given below:

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A: answer is in next step. please give a like !!

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A: We can find the answer as below.

Q: a. b. .) Solve the following integration problems. ‘s) [ e2* .xdx 1 (2x sin(√x) √x dx

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Q: Evaluate the integral using NOTE: Enter the exact answer. [ 5x²e²³ dx = appropriate substitution. +C

A: We can evaluate the given integral by using the substitution u= x3 and the following formula.

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Q: Q2) [ Given the function f(x,y)=x²-6x+y²-6y+8 a) Find all critical points of f. b) Find the maximum…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) làm 9 cot x

A: topic- limits

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A: I have calculated the critical point of the given function

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A: We know that discontinuity is a point where the function becomes undefined. The point of…

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Q: C'(x) = C'(8) = 1 √√2x + 48

A: It is given that, C(x)=7+2x+48     ,    0≤x≤50 We have to find the value of C'(8).

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A: Follow the procedure given below.

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Q: ;) Choose/box the correct statement. To evaluate x³ 3x² +1 dx x²-1 we begin the calculation by A.…

A: This question can be solved using the concept of decomposition of improper rational function.

Q: c) [ : Consider the series: 1 49 7-1+ 1 + i) Is the given series a geometric series? Explain. ii)…

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Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A: Given  St=60t2t2+150

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Q: Find the derivative. F'(x) if F(x) = (ex² -3) 2² F'(x)=

A: use the natural log both side for finding the F'(x).

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Q: a) [ : Find the volume of the solid obtained by rotating the region bounded by the lines «<math y =…

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Q: Find y' and the slope of the tangent line to the graph of (3x-2y)5 = 2y2-9 at the point (1,2). y'=0…

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A: Given.

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Q: 2²2 +2²2² = 12 25 (a) Find the vertices, foci, and eccentricity of the ellipse. (x, y) = (-5,0 (x,…

A: The equation is  x225+y29=1

Q: egral f x²+x+2 dx (x-1)(x²+5)

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Q: Sketch the region R of integration and then switch the order of integration for the following…

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Q: c) Consider the series: 5-1+ 5 25 + .. i) Is the given series a geometric series? Explain. ii)…

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Q: 2) [3 Solve the IVP: y" - 6y + 8y = 0, y(0) = 0, y' (0) = 2.

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Q: Without using a calculator, for the following, determine the definite integral that represents the…

A: Here, the given curve is r=3-4cos θ. The graph of the curve is: To find the area of the shaded(red)…

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A: We use L'Hospital rule to evaluate the given limit.

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Q: (b) Determine whether the alternating series converges or diverges by using the alternating series…

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Q: ⁹1 9x + 7 8x5 dx || +C

A: Given: ∫9x+78x5dx